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Finding the Fourth Proportional to 8,196.48, 12,296.34 and 2,650.14

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Solution

The fourth proportional to 8,196.48, 12,296.34 and 2,650.14 is: 3,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.48 : 12,296.34 = 2,650.14 : x
  2. Step 2: Convert to fraction form
    8,196.48/12,296.34 = 2,650.14/x
  3. Step 3: Cross multiply
    8,196.48x = 12,296.34 × 2,650.14
  4. Step 4: Simplify right side
    8,196.48x = 32,587,022.49
  5. Step 5: Solve for x
    x = 32,587,022.49/8,196.48
  6. Step 6: Final answer
    x = 3,975.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.